Least Common Multiple of 822/11, 217/4149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 822/11, 217/4149 quickly i.e. 178374 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 822/11, 217/4149 is 178374.

LCM(822/11, 217/4149) = 178374

LCM of 822/11, 217/4149

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 822/11,217/4149

Given numbers are 822/11,217/4149

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 822,217

Least Common Multiple of Numerators i.e. LCM of 822,217 is 178374.

GCF of Denominators means GCF of 11,4149 as per the given fractions.

GCF of 11,4149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 822,217

LCM of Fractions 822/11,217/4149 is 178374

Given numbers has no common factors except 1. So, there LCM is their product i.e 178374

Least Common Multiple of 822,217 with GCF Formula

Least Common Multiple of 822,217 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 822,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,217) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(822,217) x common factors =1 x 1 = 1

LCM(822,217) = ( 822 × 217 ) / 1

LCM(822,217) = 178374 / 1

LCM(822,217) = 178374


Lets's calculate GCF of 11,4149

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 178374/1

Therefore the LCM of Fractions 822/11,217/4149 is 178374

Greatest Common Factor of 11,4149 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,4149 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 4149

List of positive integer factors of 4149 that divides 4149 without a remainder.

1,3,9,461,1383,4149

Greatest Common Factor

We found the factors 11,4149 . The biggest common factor number is the GCF number.
So the greatest common factor 11,4149 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 822/11, 217/4149

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 822/11, 217/4149?

Answer: LCM of Numerators as per given numbers 822/11, 217/4149 is

LCM of Numerators i.e. for 822,217 is 178374

GCF of denominators i.e. for 11,4149 is 1.

Thus, LCM of Fractions is 178374.Finally, LCM of Fractions for 822/11, 217/4149 is 178374.